**Genetic Experiment with Peas**In a genetic experiment with peas, one sample of offspring was analyzed. The sample consisted of 415 green peas and 163 yellow peas.**Tasks:****a. Construct a 95% Confidence Interval**- Calculate a 95% confidence interval to estimate the percentage of yellow peas.- Express the percentages in decimal form.- Two input boxes are provided to fill in the lower and upper bounds of the interval.- Remember to round your answers to three decimal places as needed.\[ \text{Lower bound} \, < \, p \, < \, \text{Upper bound} \]**b. Analysis of Expectations**- Given that it was expected for 25% of the offspring peas to be yellow, determine if the results contradict this expectation.- Options: - Yes, the confidence interval does not include 0.25, indicating that the true percentage could not equal 25%. - No, the confidence interval includes 0.25, indicating that the true percentage could easily equal 25%.*Select the appropriate response based on your confidence interval calculations.***Notes:**- The sample was analyzed, expecting that 25% of the offspring peas would be yellow. The purpose of this analysis is to verify the outcomes against the expectations.- Confidence intervals offer a range of values that are plausible for the parameter being estimated, helping to determine if observed data aligns with theoretical predictions.

Given,n=578x=163p^=163578=0.282011-p^=1-0.282=0.71799α=1-0.95=0.05α2=0.025Z0.025=1.96 (from…

Answered: a. Construct a 95% confidence interval…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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